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In this paper we prove the efficacy of a simple greedy algorithm for a finite horizon online resource allocation/matching problem, when the corresponding static planning linear program (SPP) exhibits a non-degeneracy condition called the…

Data Structures and Algorithms · Computer Science 2022-07-26 Varun Gupta

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

Data Structures and Algorithms · Computer Science 2022-09-05 Marten Maack

This work addresses the problem of exploration in an unknown environment. For linear dynamical systems, we use an experimental design framework and introduce an online greedy policy where the control maximizes the information of the next…

Machine Learning · Statistics 2023-04-27 Matthieu Blanke , Marc Lelarge

Often times, in many design problems, there is a need to select a small set of informative or representative elements from a large ground set of entities in an optimal fashion. Submodular optimization that provides for a formal way to solve…

Machine Learning · Computer Science 2018-10-09 Arun V Sathanur

The interval scheduling problem is one variant of the scheduling problem. In this paper, we propose a novel variant of the interval scheduling problem, whose definition is as follows: given jobs are specified by their {\em release times},…

Data Structures and Algorithms · Computer Science 2018-05-16 Koji M. Kobayashi

We examine the problem of smoothed online optimization, where a decision maker must sequentially choose points in a normed vector space to minimize the sum of per-round, non-convex hitting costs and the costs of switching decisions between…

Machine Learning · Computer Science 2022-10-28 Daan Rutten , Nico Christianson , Debankur Mukherjee , Adam Wierman

The coupling of some types of oscillators requires the mediation of a physical link between them, rendering the distance between oscillators a critical factor to achieve synchronization. In this paper we propose and explore a greedy…

Adaptation and Self-Organizing Systems · Physics 2022-09-21 Damien Beecroft , Juan G. Restrepo , David Angulo-Garcia

We consider the online unrelated-machine load balancing problem with recourse, where the algorithm is allowed to re-assign prior jobs. We give a $(2+\epsilon)$-competitive algorithm for the problem with $O_\epsilon(\log n)$ amortized…

Data Structures and Algorithms · Computer Science 2022-11-30 Ravishankar Krishnaswamy , Shi Li , Varun Suriyanarayana

We consider the problem of scheduling packets of different lengths via a directed communication link prone to jamming errors. Dynamic packet arrivals and errors are modelled by an adversary. We focus on estimating relative throughput of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Tomasz Jurdzinski , Dariusz R. Kowalski , Krzysztof Lorys

Online bipartite matching with edge arrivals remained a major open question for a long time until a recent negative result by [Gamlath et al. FOCS 2019], who showed that no online policy is better than the straightforward greedy algorithm,…

Data Structures and Algorithms · Computer Science 2020-07-17 Nick Gravin , Zhihao Gavin Tang , Kangning Wang

The problem of online packet scheduling to minimize the required conventional grid energy for transmitting a fixed number of packets given a common deadline is considered. The total number of packets arriving within the deadline is known,…

Information Theory · Computer Science 2016-02-05 Aditya Deshmukh , Rahul Vaze

We tackle in this paper an online network resource allocation problem with job transfers. The network is composed of many servers connected by communication links. The system operates in discrete time; at each time slot, the administrator…

Machine Learning · Statistics 2023-11-17 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Amirhossein Asgharnia

We study online weighted bipartite matching of reusable resources where an adversarial sequence of requests for resources arrive over time. A resource that is matched is 'used' for a random duration, drawn independently from a…

Data Structures and Algorithms · Computer Science 2023-04-10 Jackie Baek , Shixin Wang

We study the performance of a best reply algorithm for online resource allocation problems with a diseconomy of scale. In an online resource allocation problem, we are given a set of resources and a set of requests that arrive in an online…

Data Structures and Algorithms · Computer Science 2019-07-18 Max Klimm , Daniel Schmand , Andreas Tönnis

In this paper, we investigate the online allocation problem of maximizing the overall revenue subject to both lower and upper bound constraints. Compared to the extensively studied online problems with only resource upper bounds, the…

Machine Learning · Computer Science 2023-01-31 Qixin Zhang , Wenbing Ye , Zaiyi Chen , Haoyuan Hu , Enhong Chen , Yang Yu

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

We consider the maximum bipartite matching problem in stochastic settings, namely the query-commit and price-of-information models. In the query-commit model, an edge e independently exists with probability $p_e$. We can query whether an…

Data Structures and Algorithms · Computer Science 2019-10-15 Buddhima Gamlath , Sagar Kale , Ola Svensson

In the online Steiner tree problem, a sequence of points is revealed one-by-one: when a point arrives, we only have time to add a single edge connecting this point to the previous ones, and we want to minimize the total length of edges…

Data Structures and Algorithms · Computer Science 2013-10-23 Albert Gu , Anupam Gupta , Amit Kumar

In a seminal work, Dooly, Goldman, and Scott (STOC 1998; JACM 2001) introduced the classic Online TCP Acknowledgment problem. In this problem, a sequence of $n$ packets arrives over time, and the objective is to minimize both the number of…

Data Structures and Algorithms · Computer Science 2026-04-16 Sujoy Bhore , Michał Pawłowski , Seeun William Umboh

Motivated by cloud computing applications, we study the problem of how to optimally deploy new hardware subject to both power and robustness constraints. To model the situation observed in large-scale data centers, we introduce the Online…

Data Structures and Algorithms · Computer Science 2022-09-05 Konstantina Mellou , Marco Molinaro , Rudy Zhou